Atkin-Lehner |
3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10065l |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
13396515 = 3 · 5 · 114 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71448080,-232458312915] |
[a1,a2,a3,a4,a6] |
j |
40336238888072241391643224321/13396515 |
j-invariant |
L |
1.6616972162127 |
L(r)(E,1)/r! |
Ω |
0.051928038006648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30195h8 50325d8 110715t8 |
Quadratic twists by: -3 5 -11 |